{"id":"W1968111185","doi":"10.1016/j.jalgebra.2004.03.015","title":"Real division algebras with large automorphism group","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University; University of Waterloo","funders":"","keywords":"Subalgebra; Division algebra; Mathematics; Division (mathematics); Pure mathematics; Automorphism; Group (periodic table); Algebra over a field; Automorphism group; Non-associative algebra; Clifford algebra; Discrete mathematics; Algebra representation; Arithmetic","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007039154,0.0002761571,0.0005336595,0.0002188062,0.0001531894,0.00005550728,0.0004591918,0.0001434064,0.000203158],"category_scores_gemma":[0.0003001668,0.0001998198,0.0001905825,0.0003006014,0.0001012182,0.0005559342,0.0001095082,0.0006435681,0.00003648157],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002525064,"about_ca_system_score_gemma":0.000154487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000526862,"about_ca_topic_score_gemma":0.00002335,"domain_scores_codex":[0.9976236,0.00006318262,0.0007857526,0.0002212605,0.0008560018,0.0004502044],"domain_scores_gemma":[0.9979339,0.0002575885,0.0008721798,0.0004345466,0.0002667407,0.0002350899],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001026453,0.0005118129,0.0008860244,0.00005325278,0.0001455312,0.0005466979,0.000709807,0.00002927004,0.001184153,0.9939396,0.0008185266,0.001072713],"study_design_scores_gemma":[0.003560555,0.0009103484,0.004390714,0.0003323221,0.00009668876,0.000651375,0.0001794079,0.00000866054,0.002793214,0.9849208,0.001862337,0.0002936058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8961232,0.0001340792,0.1000904,0.0007877973,0.0004338625,0.0001777275,0.000005371163,0.00008991966,0.002157673],"genre_scores_gemma":[0.8380155,0.00009030252,0.1610163,0.0001963553,0.0004200523,0.000002972229,0.000002193943,0.00007130258,0.0001849598],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06092599,"threshold_uncertainty_score":0.8148416,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02117979105490739,"score_gpt":0.299113812868504,"score_spread":0.2779340218135966,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}